| The radius of the base of a conical tent is 7 m and its height is 24 m. |
| What length of canvas, 1.25 m wide will be required for this tent? |
A) 220 m
B) 210 m
C) 440 m
D) 660 m
Correct Answer: C
Solution :
r = 7 m and h = 24 m \[\therefore \]\[l=\sqrt{{{r}^{2}}+{{h}^{2}}}=\sqrt{{{(7)}^{2}}+{{(24)}^{2}}}=(\sqrt{625})=25\,\,m\] Area of canvas \[=\pi rl=\left( \frac{22}{7}\times 7\times 25 \right)\,\,\,{{m}^{2}}=550\,\,{{m}^{2}}\] Length of canvas \[=\frac{\text{Area}}{\text{Width}}=\left( \frac{550}{1.25} \right)\,\,m=\left( \frac{550\times 10}{125} \right)\,\,m=440\,\,m\]
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